Tank N contained 4 times as many guppies as Tank P. When 40% of the guppies in Tank N and 40% of the guppies in Tank P were transferred to Tank Q, Tank Q had 240 guppies, which was 50% more guppies than before. How many less guppies were there in Tank P than Tank N in the end?
|
Tank N |
Tank P |
Tank Q |
Before |
4 u |
1 u |
2x2 = 4 u |
Change |
- 1.6 u |
- 0.4 u |
+ 1x2 = + 2 u |
After |
2.4 u |
0.6 u |
3x2 = 6 u |
Number of guppies that were transferred from Tank N to Tank Q
= 40% x 4 u
=
40100 x 4 u
= 1.6 u
Number of guppies that were transferred from Tank P to Tank Q
= 40% x 1 u
=
40100 x 1 u
= 0.4 u
50% =
50100 =
12Some guppies from Tank N and Tank P were transferred to Tank Q. The total number of guppies transferred from Tank N and Tank P into Tank Q is the same.
Total number of guppies transferred from Tank N and Tank P into Tank Q
= 1.6 u + 0.4 u
= 2 u
6 u = 240
1 u = 240 ÷ 6 = 40
Number of less guppies in Tank P than Tank N
= 2.4 u - 0.6 u
= 1.8 u
= 1.8 x 40
= 72
Answer(s): 72